lemma
proved
term proof
planck_time_inner_nonneg
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formal statement (Lean)
166lemma planck_time_inner_nonneg : 0 ≤ hbar_codata * G_codata / c_codata ^ 5 :=
proof body
Term-mode proof.
167 le_of_lt (div_pos (mul_pos hbar_codata_pos G_codata_pos) (pow_pos c_codata_pos 5))
168
169/-- **Theorem**: τ₀ = t_P / √π
170
171This relation shows τ₀ is the Planck time divided by √π. -/
depends on (10)
Lean names referenced from this declaration's body.
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c_codata
in IndisputableMonolith.Constants.Derivation
decl_use
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c_codata_pos
in IndisputableMonolith.Constants.Derivation
decl_use
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G_codata
in IndisputableMonolith.Constants.Derivation
decl_use
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G_codata_pos
in IndisputableMonolith.Constants.Derivation
decl_use
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hbar_codata
in IndisputableMonolith.Constants.Derivation
decl_use
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hbar_codata_pos
in IndisputableMonolith.Constants.Derivation
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use